Triangle Inequality Theorem
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Triangle Inequality Theorem?
Back
The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
2.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 3, 4, and 5, does it satisfy the Triangle Inequality Theorem?
Back
Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.
3.
FLASHCARD QUESTION
Front
Can a triangle have side lengths of 0, 11, and 12?
Back
No, because one side length is 0, which does not satisfy the Triangle Inequality Theorem.
4.
FLASHCARD QUESTION
Front
Which of the following sets of lengths can form a triangle: (5, 7, 12) or (5, 7, 11)?
Back
(5, 7, 11) can form a triangle because 5 + 7 > 11. (5, 7, 12) cannot form a triangle because 5 + 7 < 12.
5.
FLASHCARD QUESTION
Front
What must be true about the longest side of a triangle?
Back
The longest side must be less than the sum of the other two sides.
6.
FLASHCARD QUESTION
Front
If the longest side of a triangle is 10, what must be true about the other two sides?
Back
The sum of the other two sides must be greater than 10.
7.
FLASHCARD QUESTION
Front
Determine if a triangle can be formed with sides of lengths 15 in., 12 in., and 2 in.
Back
No, because 15 + 12 is not greater than 2.
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